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A variety of optical soliton solutions in closed-form of the nonlinear cubic quintic Schrödinger equations with beta derivative
In the field of nonlinear optics, both fractional and classical-order nonlinear Schrödinger (NS) equations are investigated. However, the...
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New soliton solutions of the nonlinear Radhakrishnan-Kundu-Lakshmanan equation with the beta-derivative
In this paper, the modified exponential function method is applied to find the exact solutions of the Radhakrishnan-Kundu-Lakshmanan equation with...
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Explicit Soliton Solutions to the Fractional Order Nonlinear Models through the Atangana Beta Derivative
The nonlinear space-time fractional Cahn-Allen and space-time fractional Benjamin-Bona-Mahony equations have significant applications in the fusion...
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1-Soliton solutions of the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain model with the beta time derivative
This paper analytically explores a (2 + 1)-dimensional nonlinear model with the beta time derivative describing the wave propagation in the...
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Dynamical behavior and multiple optical solitons for the fractional Ginzburg–Landau equation with \(\beta \)-derivative in optical fibers
The main goal of the current work is to study dynamical behavior and dispersive optical solitons for the fractional Ginzburg–Landau equation in...
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A reduction technique to solve the (2+1)-dimensional KdV equations with time local fractional derivatives
This paper investigates the (2+1)-dimensional Korteweg-de Vries (KdV) equation with a local M-derivative and beta derivative in the time direction....
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A comparative study of fractional derivatives to interpret wave structures for the higher order fractional Ramani equation
This study investigates wave solutions to the higher order Ramani equation with beta derivative via the generalized Kudryashov and the extended...
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Soliton solutions to the DNA Peyrard–Bishop equation with beta-derivative via three distinctive approaches
In this paper, we explore the DNA dynamic equation arising in the oscillator-chain named as Peyrard–Bishop model for abundant solitary wave...
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Novel dispersive soliton solutions to a fractional nonlinear Schrödinger equation related with ultrashort pulses
In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is crucial in fibre optics, is discussed. The equation...
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Investigating the new perspectives of Caudrey–Dodd–Gibbon equation arising in quantum field theory
The main purpose of the paper is obtaining the analytical results for beta fractional Caudrey–Dodd–Gibbon equation which is used to resolve complex...
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One-Loop Divergences in Higher-Derivative Gravity
We give a review of the one-loop divergences in higher-derivative gravity theories. We first make the bilinear expansion in the quantum fluctuation...
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Fractional Boltzmann and Fokker–Planck Equations
The fractional Boltzmann and Fokker–Planck equations could be derived from the continuous-time random walks (CTRW) model. The usual random walks...
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New fractional solutions for the Clannish Random Walker’s Parabolic equation and the Ablowitz-Kaup-Newell-Segur equation
In this article, we find fractional solutions for the Clannish Random Walkers Parabolic (CRWP) equation and Ablowitz-Kaup-Newell-Segeur (AKNS)...
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Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE
In this research we obtain some dark and singular solitons for the resonance perturbed nonlinear Schrödinger equation (NLSE) with beta derivative...
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A comparative study of two fractional nonlinear optical model via modified \(\left( \frac{G^{\prime }}{G^2}\right)\)-expansion method
This article reveals the different types of optical solitons of non-linear coupled Riemann wave equation and Wazwaz Kaur Boussinesq equation. We...
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The space–time-fractional derivatives order effect of Caputo–Fabrizio on the do** profiles for formation a p-n junction
AbstractIn this study, we treated the space–time-fractional diffusion equation in a semi-infinite medium using a recently developed fractional...
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Optical soliton solutions of fractional Sasa-Satsuma equation with beta and conformable derivatives
In this paper, the optical soliton and other solutions of fractional Sasa-Satsuma equation are investigated with fractional beta derivative and...
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The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization
AbstractWe review some recent results of the studies of quantum corrections in supersymmetric theories derived using Slavnov’s higher covariant...
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Comparison of fractional effects for Phi-4 equation using beta and M-truncated derivatives
Fractional Phi -4 equation plays a crucial role in many studies of nuclear and particle physics. In this paper, the fractional Phi -4 equation is...
